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Area Mathematics - Functions / Integral transformations

IEV ref103-04-05

en
Laplace transform
for a real or complex function f(t) of the real variable t, complex function F(s) of a complex variable s, given by the integral transformation

F(s)= 0 + f(t) e st dt MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadAeacaGGOaGaam 4CaiaacMcacqGH9aqpdaWdXaqaaiaadAgacaGGOaGaamiDaiaacMca jugqbiGacwgakmaaCaaaleqabaGaeyOeI0Iaam4CaiaayIW7caWG0b aaaKqzafGaciizaOGaamiDaaWcbaqcLbqacaaMi8UaaGimaaWcbaGa aGjcVlabgUcaRiabg6HiLcqdcqGHRiI8aaaa@4E5F@

Note 1 to entry: If t is time, the variable s represents complex angular frequency.

Note 2 to entry: The Laplace transform of the function f is also denoted Lf or ℒf.


fr
transformée de Laplace, f
pour une fonction réelle ou complexe f(t) de la variable réelle t, fonction complexe F(s) de la variable complexe s, donnée par la transformation intégrale

F(s)= 0 + f(t) e st dt MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadAeacaGGOaGaam 4CaiaacMcacqGH9aqpdaWdXaqaaiaadAgacaGGOaGaamiDaiaacMca jugqbiGacwgakmaaCaaaleqabaGaeyOeI0Iaam4CaiaayIW7caWG0b aaaKqzafGaciizaOGaamiDaaWcbaqcLbqacaaMi8UaaGimaaWcbaGa aGjcVlabgUcaRiabg6HiLcqdcqGHRiI8aaaa@4E5F@

Note 1 à l'article: Si t est le temps, la variable s représente la pulsation complexe.

Note 2 à l'article: La transformée de Laplace de la fonction f est notée aussi Lf ou ℒf.


ar
تحويل لابلاس

de
Laplace-Transformierte, f

es
transformada de Laplace

it
trasformata di Laplace

ja
ラプラス変換, 動詞

pl
transformata Laplace’a

pt
transformada de Laplace

sr
Лапласова трансформација, ж јд

sv
laplacetransform

zh
拉普拉斯变换, <相关条目:103-04-06>

Publication date: 2009-12
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